Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
Compositio Mathematica, Tome 60 (1986) no. 1, pp. 53-63.
@article{CM_1986__60_1_53_0,
     author = {Silhol, R.},
     title = {Bounds for the number of connected components and the first {Betti} number mod two of a real algebraic surface},
     journal = {Compositio Mathematica},
     pages = {53--63},
     publisher = {Martinus Nijhoff Publishers},
     volume = {60},
     number = {1},
     year = {1986},
     mrnumber = {867956},
     zbl = {0608.14028},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__60_1_53_0/}
}
TY  - JOUR
AU  - Silhol, R.
TI  - Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
JO  - Compositio Mathematica
PY  - 1986
SP  - 53
EP  - 63
VL  - 60
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1986__60_1_53_0/
LA  - en
ID  - CM_1986__60_1_53_0
ER  - 
%0 Journal Article
%A Silhol, R.
%T Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
%J Compositio Mathematica
%D 1986
%P 53-63
%V 60
%N 1
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1986__60_1_53_0/
%G en
%F CM_1986__60_1_53_0
Silhol, R. Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface. Compositio Mathematica, Tome 60 (1986) no. 1, pp. 53-63. http://archive.numdam.org/item/CM_1986__60_1_53_0/

[1] E.E. Floyd: Periodic maps via Smith theory, in Seminar on Transformation groups p. 35-47. Princeton University Press, Princeton (1960).

[2] P. Griffiths and J. Harris: Principles of Algebraic Geometry. J. Wiley & Sons, New York (1978). | MR | Zbl

[3] V.M. Kharlamov: The topological type of nonsingular surfaces in RP3 of degree four. Functional Anal. Appl 10 (1976) 295-305. | Zbl

[4] A. Neron: Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Publi. Math. IHES, Paris (1964). | Numdam | MR | Zbl

[5] J.-J. Risler: Sur le 16éme problème de Hilbert, in Séminaire sur la géométrie algébrique réelle. Publi. Math. de Paris VII, Paris (1979) 163-164. | Zbl

[6] V.A. Rokhlin: Congruences modulo 16 in Hilbert's 16th problem. Funct. Anal Appl. 6 (1972) 301-306 and ibid. 7 (1974) 163-164. | Zbl

[7] R. Silhol: A bound on the order of H(a)n-1(X, Z/2) on a real algebraic variety, in Géométrie algébrique Réelle et Formes Quadratiques. Lecture Notes in Math. 959, p. 443-450 Berlin -Heidelberg-New York (1982). | MR | Zbl

[8] R. Silhol: Real algebraic surfaces with rational or elliptic fiberings. Math. Z. 186 (1984) 465-499. | MR | Zbl

[9] O.Y. Viro: Construction of real algebraic surfaces with many components. Soviet Math. Dokl. 20 (1979) N° 5, p. 991-995. | Zbl

[10] G. Wilson: Hilbert's sixteenth problem. Topology 17 (1978) 53-73. | MR | Zbl